# Chapter 7 - Integration Techniques - 7.1 Basic Approaches - 7.1 Exercises - Page 514: 1

Set $u = 4-7x$ and substitute $4-7x$ with $u$ in the integral

#### Work Step by Step

Setting $u = 4-7x$ would result in the integral $\int (u)^{-6} dx$, which is easier to integrate. $u = 4-7x$ $du = -7$ $\frac{-1}{7}\int u^{-6} du = (\frac{-1}{7}) \frac{-1}{5}u^{-5} = \frac{(4-7x)^{-5}}{35}$

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